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634054080 = 26351197619
BaseRepresentation
bin100101110010101…
…110010111000000
31122012002021200110
4211302232113000
52244304212310
6142525551320
721466241112
oct4562562700
91565067613
10634054080
112a59a8240
12158415540
13a148cc3a
14602cd3b2
153a9e7d20
hex25cae5c0

634054080 has 224 divisors, whose sum is σ = 2222357760. Its totient is φ = 151879680.

The previous prime is 634054039. The next prime is 634054081. The reversal of 634054080 is 80450436.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634054081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024011 + ... + 1024629.

It is an arithmetic number, because the mean of its divisors is an integer number (9921240).

Almost surely, 2634054080 is an apocalyptic number.

634054080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634054080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111178880).

634054080 is an abundant number, since it is smaller than the sum of its proper divisors (1588303680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

634054080 is a wasteful number, since it uses less digits than its factorization.

634054080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 634054080 is about 25180.4304967171. The cubic root of 634054080 is about 859.0967982881.

The spelling of 634054080 in words is "six hundred thirty-four million, fifty-four thousand, eighty".